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Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis

Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis

Hardcover

Series: Chapman & Hall/CRC Monographs and Research Notes in Mathemat

General Mathematics

ISBN10: 1498703410
ISBN13: 9781498703413
Publisher: Crc Pr Inc
Published: Jun 24 2015
Pages: 324
Weight: 1.40
Height: 0.90 Width: 6.20 Depth: 9.20
Language: English

This book provides a thorough introduction to the theory of nonlinear PDEs with a variable exponent, particularly those of elliptic type. It presents the most important variational methods for elliptic PDEs described by nonhomogeneous differential operators and containing one or more power-type nonlinearities with a variable exponent. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear elliptic equations as well as their applications to various processes arising in the applied sciences.

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General Mathematics